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" To construct a triangle of which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (20. "
The Elements of Euclid - Page 12
by Euclid - 1838 - 416 pages
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...required to make a triangle of which the fides fhall be equal to A, B, C, each to each. Take a ftraight line DE terminated at the point D, but unlimited towards E, and make* DF equal to A, FG to B, and GH equal to C ; and from the centre F, at the diftance FD, defcribe * the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...required to make a triangle of which the fides fhall be equal to A, B, C, each to each. Take a ftraight line DE terminated at the point D, but unlimited towards E, and make a DF equal to A, /"" "*">N?V' — a 3! '• FG to B, and GH equal to C ; therefore any two of the ftraight...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...required to make a triangle of which the fides fhall be equal to A, B, C, each to each. Take a ftraight line DE terminated at the point D, but Unlimited towards E, and make » DF equal to A, FG to B, and GH equal to C ; and from the center F, at the diftance FD defcribe b...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...greater than the third, viz. A and B greater than C ; A and C greater than B ; and B and C greater than A. It is required to make a triangle of which...terminated at the point D, but unlimited towards E, and makea DF equal to A, FG to B, and GH equal to C : and from the centre F, at the distance FD, describe1'...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...less than the other two sides of the triangle, but (hall contain a greater angle. Prop. XXII. Prob. To make a triangle of •which the sides shall be equal to three given 4trai;ht lines, but any two whatever of these must be greater than the third. Prop. XXII...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...three given straight lines, but any two whatever of these must be greater than the third ". • 20. i Let A, B, C be the three given straight lines, of...terminated at the point D, but unlimited towards E, dnd makebDF equal to A,FGtoB, andGH equal to C; and from the centre F, at the distance FD, describe...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (20. 1.). Let A, B",...triangle of which the sides shall be equal to A, B, C, eacb to each, Take a straight line DE terminated at the point D, but unlimited towards E, and make...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...are greater than the third, viz. A and В greater than С ; A and С greater than В ; and В and С than A. It is required to make a triangle of which the side shall be equal to А, В, С, each to each. Take a straight line DE terminated at the point D,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...than A. It is required to make a triangle of whieh the sides shall be equal to A, B, C, eaeh to eaeh. Take a straight line DE terminated at the point D, but unlimited towards E, and make (3. t.) DP equal to A, FG to B, and GH equal to C ; and from the eentre F, at the distanee FD, deseribe...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...BDC greater than the angle BAC. Therefore, if from the ends of, &c. QKD • PROP. XXII. PROB. See N. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these * 20. 1. must be greater than the third*....
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